Find the number ordered pairs `(x ,y)ifx ,y in {0,1,2,3, , 10}a n dif|x-y|> 5.`

The number of ordered pairs (x,y) , where x , y in N for which 4 , x , y are in H.P. , is equal to

If x, y in [0,2pi] then find the total number of order pair (x,y) satisfying the equation sinx .cos y = 1

For 0ltx ,yltpi, the number of ordered pairs (x, y) satisfying system equations cot^2(x-y)-(1+sqrt(3))cot(x-y)+sqrt(3)="0 and cosy="(sqrt(3))/2 is

If x in (0,2pi)a n dy in (0,2pi) , then find the number of distinct ordered pairs (x , y) satisfying the equation 9cos^2x+sec^2y-6cosx-4secy+5=0

Find the ordered pair (x ,y) for which x^2-y^2-i(2x+y)=2idot

If the ordered pairs (x+ 1 ,5) and ( 4,x+2y) are equal then (x,y) is:

The number of ordered pair (x, y) satisfying the equation sin^(2) (x+y)+cos^(2) (x-y)=1 which lie on the circle x^(2)+y^(2)=pi^(2) is _________.

The total number of ordered pairs (x , y) satisfying |x|+|y|=2,sin((pix^2)/3)=1, is equal to a)4 b)6 c)10 d)12

If the ordered pairs (x^2-3y,y^2+4y) and (-2,5) are equal , then find x and y .